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10221001320 = 2335315475023
BaseRepresentation
bin10011000010011100…
…00001101001101000
3222101022121122221110
421201032001221220
5131413034020240
64410115310320
7511200035445
oct114116015150
928338548843
1010221001320
114375541632
121b92bab3a0
13c6b71889a
146cd6509cc
153ec4b4c80
hex261381a68

10221001320 has 128 divisors (see below), whose sum is σ = 31716311040. Its totient is φ = 2632331520.

The previous prime is 10221001319. The next prime is 10221001321. The reversal of 10221001320 is 2310012201.

It is an interprime number because it is at equal distance from previous prime (10221001319) and next prime (10221001321).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10221001296 and 10221001305.

It is not an unprimeable number, because it can be changed into a prime (10221001321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2032329 + ... + 2037351.

It is an arithmetic number, because the mean of its divisors is an integer number (247783680).

Almost surely, 210221001320 is an apocalyptic number.

10221001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15858155520).

10221001320 is an abundant number, since it is smaller than the sum of its proper divisors (21495309720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10221001320 is a wasteful number, since it uses less digits than its factorization.

10221001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5615 (or 5611 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10221001320 its reverse (2310012201), we get a palindrome (12531013521).

The spelling of 10221001320 in words is "ten billion, two hundred twenty-one million, one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 547 620 744 930 1094 1240 1641 1860 2188 2735 3282 3720 4376 5023 5470 6564 8205 10046 10940 13128 15069 16410 16957 20092 21880 25115 30138 32820 33914 40184 50230 50871 60276 65640 67828 75345 84785 100460 101742 120552 135656 150690 155713 169570 200920 203484 254355 301380 311426 339140 406968 467139 508710 602760 622852 678280 778565 934278 1017420 1245704 1557130 1868556 2034840 2335695 2747581 3114260 3737112 4671390 5495162 6228520 8242743 9342780 10990324 13737905 16485486 18685560 21980648 27475810 32970972 41213715 54951620 65941944 82427430 85175011 109903240 164854860 170350022 255525033 329709720 340700044 425875055 511050066 681400088 851750110 1022100132 1277625165 1703500220 2044200264 2555250330 3407000440 5110500660 10221001320